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Finding the Third Proportional to 436,184 and 941,110

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Solution

The third proportional to 436,184 and 941,110 is: 2,030,537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,184 : 941,110 = 941,110 : x
  2. Step 2: Convert to fraction form
    436,184/941,110 = 941,110/x
  3. Step 3: Cross multiply
    436,184x = 941,110 × 941,110
  4. Step 4: Simplify right side
    436,184x = 885,688,032,100
  5. Step 5: Solve for x
    x = 885,688,032,100/436,184
  6. Step 6: Final answer
    x = 2,030,537.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.